A triangle has corners at #(4 ,7 )#, #(1 ,4 )#, and #(6 ,2 )#. What is the area of the triangle's circumscribed circle?
1 Answer
Explanation:
I worked out the general form here.
There's a formula we can just apply, but let's just work from the conclusion:
The squared radius of the circumcircle is the product of the squared sides of the triangle divided by
It's easier to leave everything squared. Since we need to generate the squared sides anyway, we note Archimedes' Theorem:
We're free to assign
Oh, isosceles.
The area of the circle is